Results 51 to 60 of about 147 (119)
Journal of Inequalities and Applications, 2023 In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for strongly p-convex stochastic processes in the ...
Hengxiao Qi +4 more
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
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Journal of Inequalities and Applications, 2021 In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P $\mathscr{P} $ -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by ...
Samaira Naz +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad +2 more
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Advances in Difference Equations, 2020 In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q ∈ ( 1 , 2 ] $q \in (1,2]$ ).
Xian-Min Zhang
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag +3 more
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Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
Revista Integración, 2018 In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H. +1 more
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On the Theory of n‐Polynomial ϕ‐Convex Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang +4 more
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Fractional-order boundary value problems with Katugampola fractional integral conditions
Advances in Difference Equations, 2018 In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions.
Nazim I. Mahmudov, Sedef Emin
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